If the mean weight of 4 backfield members on the football team is 213 lb and the mean weight of the 7 other players is 202 lb, what is the mean weight of the 11-person team?
To find the mean weight of the 11-person team, we need to find the total weight of all 11 players and divide by 11.
Let's start by finding the total weight of the 4 backfield members. We know that their mean weight is 213 lb, so we can multiply that by 4 to get:
4 * 213 = 852
So the total weight of the backfield members is 852 lb.
Next, let's find the total weight of the 7 other players. We know that their mean weight is 202 lb, so we can multiply that by 7 to get:
7 * 202 = 1414
So the total weight of the other players is 1414 lb.
To find the total weight of the 11-person team, we can add the total weight of the backfield members and the other players:
852 + 1414 = 2266
So the total weight of the 11-person team is 2266 lb.
Finally, to find the mean weight of the team, we divide the total weight by the number of players:
2266 / 11 ≈ 206.0
So the mean weight of the 11-person team is approximately 206.0 lb.